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Finding the Fourth Proportional to 136,307.80, 204,024.30 and 106,564.60

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Solution

The fourth proportional to 136,307.80, 204,024.30 and 106,564.60 is: 159,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,307.80 : 204,024.30 = 106,564.60 : x
  2. Step 2: Convert to fraction form
    136,307.80/204,024.30 = 106,564.60/x
  3. Step 3: Cross multiply
    136,307.80x = 204,024.30 × 106,564.60
  4. Step 4: Simplify right side
    136,307.80x = 21,741,767,919.78
  5. Step 5: Solve for x
    x = 21,741,767,919.78/136,307.80
  6. Step 6: Final answer
    x = 159,504.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.